Member

Publications

Article dans une revue

• On a finite-volume approximation of a diffusion-convection equation with a multiplicative stochastic force, Caroline Bauzet, Kerstin Schmitz, Aleksandra Zimmermann. Stochastics and Partial Differential Equations: Analysis and Computations, 2025, 13 (4), pp.2039-2084. ⟨10.1007/s40072-025-00379-8⟩
• Toward stochastic imperfect interfaces, Caroline Bauzet, Serge Dumont, Serge Dumont, Frédéric Lebon, Flore Nabet. Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2025, 105 (4), ⟨10.1002/zamm.70030⟩
• Theoretical analysis of a finite-volume scheme for a stochastic Allen--Cahn problem with constraint, Caroline Bauzet, Cédric Sultan, Guy Vallet, Aleksandra Zimmermann. Nonlinear Analysis: Theory, Methods and Applications, 2024, 259, pp.113812. ⟨10.1016/j.na.2025.113812⟩
• Convergence of a finite-volume scheme for a heat equation with a multiplicative Lipschitz noise, Caroline Bauzet, Flore Nabet, Kerstin Schmitz, Aleksandra Zimmermann. ESAIM: Mathematical Modelling and Numerical Analysis, In press, 57 (2), pp.745-783. ⟨10.1051/m2an/2022087⟩
• Well-posedness for the coupling of a random heat equation with a multiplicative stochastic Barenblatt equation, Frédéric Lebon, Caroline Bauzet, Asghar Ali Maitlo, Aleksandra Zimmermann. Stochastic Analysis and Applications, 2021, 39 (6), pp.1095-1129. ⟨10.1080/07362994.2021.1871626⟩
• Existence and uniqueness result for an hyperbolic scalar conservation law with a stochastic force using a finite volume approximation, Caroline Bauzet, Vincent Castel, Julia Charrier. Journal of Hyperbolic Differential Equations, 2020, 17 (2), pp.213-294
• Well-posedness result for a system of random heat equation coupled with a multiplicative stochastic Barenblatt equation, Caroline Bauzet, Frédéric Lebon, Ali Maitlo, Aleksandra Zimmermann. Stochastic Analysis and Applications, In press
• The Neumann problem for a Barenblatt equation with a multiplicative stochastic force and a nonlinear source term, Caroline Bauzet, Frédéric Lebon, Asghar Maitlo. Nonlinear Differential Equations and Applications, 2019, ⟨10.1007/s00030-019-0567-5⟩
• A Multi-Scale Model of Soft Imperfect Interface with Nonlocal Damage, Asghar Ali Maitlo, Frédéric Lebon, Caroline Bauzet. Journal of Multiscale Modelling, 2019, 10 (1), ⟨10.1142/S1756973718410019⟩
• A global existence and uniqueness result for a stochastic Allen-Cahn equation with constraint, Caroline Bauzet, Elena Bonetti, Giovanna Bonfanti, Frédéric Lebon, Guy Vallet. Mathematical Methods in the Applied Sciences, 2017, 40 (14), pp.5241-5261. ⟨10.1002/mma.4383⟩
• Numerical approximation of stochastic conservation laws on bounded domains, Caroline Bauzet, Julia Charrier, Thierry Gallouët. ESAIM: Mathematical Modelling and Numerical Analysis, 2016, ⟨10.1051/m2an/2016020⟩

Communication dans un congrès

• Finite Volume Approximations for Non-Linear Parabolic Problems with Stochastic Forcing, Caroline Bauzet, Flore Nabet, Kerstin Schmitz, Aleksandra Zimmermann. Finite Volumes for Complex Applications 10 (FVCA10), Université de Strasbourg, Oct 2023, Strasbourg, France. pp.157-166, ⟨10.1007/978-3-031-40864-9_10⟩
• Convergence of monotone finite volume schemes for hyperbolic scalar conservation laws with a multiplicative stochastic force, Caroline Bauzet, Thierry Gallouët, Julia Charrier. 35ème Séminaire sur la Mécanique des fluides numérique, Commissariat à l'Energie Atomique et aux Energies Alternatives; SMAI/GAMNI, Jan 2023, Paris, France
• On the modeling of non-linear imperfect interfaces including plasticity and stochastics effects, Caroline Bauzet, Giovanna Bonfanti, Serge Dumont, Serge Dumont, Frédéric Lebon. 15th World Congress on Computational Mechanics (WCCM-XV) & 8th Asian Pacific Congress on Computational Mechanics (APCOM-VIII), Jul 2022, yokohama, Japan
• WELL-POSEDNESS RESULT FOR AN HYPERBOLIC SCALAR CONSERVATION LAW WITH A STOCHASTIC FORCE USING A FINITE VOLUME APPROXIMATION, Caroline Bauzet, Vincent Castel, Julia Charrier, Thierry Gallouët. ENUMATH2019, Sep 2019, Egmond aan Zee, Netherlands
• Autour des EDP stochastiques : théorie et analyse numérique, Caroline Bauzet. Journée Analyse Appliquée et LMA, Caroline Bauzet; Bruno Lombard, Jun 2019, Marseille, France
• On a stochastic model of damage and rupture, Caroline Bauzet, Frédéric Lebon, Elena Bonetti, Giovanna Bonfanti, Guy Vallet. Journées Analyse Appliquée Nice Toulon Marseille, May 2019, Porquerolles, France
• WELL-POSEDNESS RESULT FOR AN HYPERBOLIC SCALAR CONSERVATION LAW WITH A STOCHASTIC FORCE USING A FINITE VOLUME APPROXIMATION, Caroline Bauzet, V Castel, J Charrier. WONAPDE 2019, Jan 2019, Concepcion, Chile